MyLab Operations Management with Pearson eText -- Access Card -- for Operations Management: Processes and Supply Chains
MyLab Operations Management with Pearson eText -- Access Card -- for Operations Management: Processes and Supply Chains
12th Edition
ISBN: 9780134742366
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter 3, Problem 9P

i)

Summary Introduction

Interpretation: by using x¯ chart find out when would the process stop.

Concept introduction: Mean(x-bar) charts:

X bar charts is a type of statistical process control chart which measures a central a shift in the central tendency of the process. In other words, X- bar charts monitor the mean or average of a product characteristics. The central line of the X-bar chart is the average of the samples and limits are defined as

Upper control limit =x¯¯+A2R¯

Lower control limit =x¯¯A2R¯

( A2 is a factor for mean chart)

Abbreviations:

  x¯¯= Average of the sample means

  R¯= Average of the sample ranges

  z= Standard normal variable ( 2 for 95.44% confidence, 3 for 99.74% confidence)

  σx¯= Standard deviation of the distribution of sample means, computed as σn

  σ= Standard deviation

  n= Samplesize (number of observations per sample)

R chart:

R-chart or range-chart is also a type of statistical process control chart, but it monitors the range of dispersion or variability of process. The central line of the r- chart is the average range and limits are:

  UCL=D4R¯LCL=D3R¯

( D4,D3 are factors for range chart)

The data corresponding to sampling of the given firm is given below

Mean of the diameter (x¯¯) is 0.015 inch.

Average range (R¯) is 0.002 inch.

Control limits are 3 sigma.

ii)

Summary Introduction

Interpretation: by set up x¯ chart find out, when the process would be stopped.

Concept introduction:In probability sampling method,the systematic sampling is a form of it. In which from a larger population sample member are chosen with a fixed, periodic interval but this starts with random sampling.

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